[PDF] Top 20 A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces
... Schwarz’s inequality |hu, vi| ≤ kuk kvk (u, v ∈ H) the case of equality holds iff there exists a λ ∈ K such that u = ...weaker inequality Re hu, vi ≤ kuk kvk the case of equality holds iff λ ≥ 0 and u = ... See full document
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Normed Spaces
... We can apply Theorem 5 to state the following reverse of the gener- alised triangle inequality for complex numbers [7].. Proposition 4..[r] ... See full document
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More on reverse triangle inequality in inner product spaces
... new reverses of triangle ...complex inner product space (H; · , · ), x k ∈ H − { 0 } , 1 ≤ k ≤ n, α = min { x k : 1 ≤ k ≤ n } , p ∈ (0, √ α 2 + ... See full document
11
On Reverses of Some Inequalities in n Inner Product Spaces
... 2-inner product spaces as generalization of norm and inner product ...2-inner product spaces can be found in the book in 2, 3 and in list of references in ... See full document
22
Improved estimates for the triangle inequality
... the triangle inequality in the particular case of spaces with inner ...other reverses of the triangle inequality were obtained by Dragomir in ...the triangle ... See full document
12
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces
... The main aim of the present paper is to point out other results in connection with both the quadratic and simple forms of the Schwarz inequality. As applications, some reverse results for the generalised ... See full document
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Reverses of the Triangle Inequality in Banach Spaces
... present recent reverses of the triangle inequality obtained by the author in [5] and ...normed spaces. Their versions in inner product spaces are analyzed and ... See full document
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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality
... The main aim of the present paper is to provide some operator inequalities for functions de…ned by power series with real coe¢ cients and, more speci…cally, with nonnegative coe¢ cients. In order to obtain these ... See full document
10
Reverses of the Triangle Inequality via Selberg's and Boas-Bellman's Inequalities
... Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Bellman generalisations of Bessel’s inequality are given.. Applications for complex numbe[r] ... See full document
8
Reverses of the Schwarz Inequality in Inner Product Spaces and Applications
... Recent reverses for the celebrated Schwarz inequality in inner product spaces and applications for discrete and integral inequalities are sur- veyed1. Introduction.[r] ... See full document
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Some results related to Bessel's inequality in inner product spaces
... In this paper we obtain some inequalities related to the celebrated Bessel’s inequal- ity in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, Selberg and ... See full document
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Grüss type inequalities in semi-inner product C∗-modules and applications
... The development of mathematical inequalities (Schwarz, triangle, Bessel, Gr¨uss, Gram, Hadamard, Landau, ˇ Ceby ˘ sev, Holder, Minkowsky, etc.) has experienced a surge, having been stimulated by their applications ... See full document
17
Grüss Inequality in Terms of △ - Seminorms and Applications
... DRAGOMIR, A generalization of Gr¨ uss’ inequality in inner product spaces and appli- cations, J.. FEDOTOV, An inequality of Gr¨ uss’ type for Riemann-Stieltjes integral and applications [r] ... See full document
11
A Grüss Type Discrete Inequality in Inner Product Spaces and Applications
... A Gr¨ uss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and [r] ... See full document
14
Inner Product Inequalities for Two Equivalent Norms and Applications
... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces , Nova Science Publishers, NY, 2007.. [3] S.S.[r] ... See full document
8
Generalized Dunkl Williams inequality in 2 inner product spaces
... and (.) and obtained a generalization of inequalities (.) and (.). This paper contains two sections. In the first section, we will work on a generalized case of Dunkl-Williams inequality in -normed ... See full document
8
Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications
... Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as the generalised triangle inequality, the arithmetic ... See full document
16
Inequalities Of Schwarz Type For n-Tuples Of Vectors In Inner Product Spaces With Applications
... Abstract. In this paper some new inequalities of Schwarz and Buzano type for n-tuples of vectors in inner product spaces are given. Applications for norm and numerical radius inequalities for ... See full document
17
On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications
... In this paper, we shall give a generalization of the Gr¨ uss type inequality and obtain some applications of the Gr¨ uss type inequality in terms of 2-inner product spaces.. 1..[r] ... See full document
10
A Survey on Generalized Inner Product Spaces and Strong Topologies
... In This project we have discussed the concept of orthognality in normed space, which is an extension of the concept orthognality in Hilbert spaces. This concept has been used by Giles [2] to obtain some ... See full document
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